Uniform Regularity for Degenerate Elliptic Equations in Perforated Domains

被引：1

作者：

Shen, Zhongwei ^{[1
]}

Zhuge, Jinping ^{[2
]}

机构：

[1] Univ Kentucky, Dept Math, Lexington, KY 40506 USA

[2] Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2025年 / 41卷 / 01期

关键词：

Homogenization; uniform regularity; perforated domains; HOMOGENIZATION; LIPSCHITZ;

D O I：

10.1007/s10114-025-3640-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a class of degenerate elliptic equations with rapidly oscillating coefficients in periodically perforated domains, which arises in the study of spectrum problems for uniformly elliptic equations in perforated domains. We establish a quantitative convergence rate and obtain the uniform weighted Lipschitz and W1,p estimates.

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收藏

页码：378 / 412

页数：35

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